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Finding the Third Proportional to 93,244.50 and 203,568.38

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Solution

The third proportional to 93,244.50 and 203,568.38 is: 444,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,244.50 : 203,568.38 = 203,568.38 : x
  2. Step 2: Convert to fraction form
    93,244.50/203,568.38 = 203,568.38/x
  3. Step 3: Cross multiply
    93,244.50x = 203,568.38 × 203,568.38
  4. Step 4: Simplify right side
    93,244.50x = 41,440,083,300.14
  5. Step 5: Solve for x
    x = 41,440,083,300.14/93,244.50
  6. Step 6: Final answer
    x = 444,423.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.